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Finding the Fourth Proportional to 82,221.71, 113,465.95 and 44,495.96

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Solution

The fourth proportional to 82,221.71, 113,465.95 and 44,495.96 is: 61,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221.71 : 113,465.95 = 44,495.96 : x
  2. Step 2: Convert to fraction form
    82,221.71/113,465.95 = 44,495.96/x
  3. Step 3: Cross multiply
    82,221.71x = 113,465.95 × 44,495.96
  4. Step 4: Simplify right side
    82,221.71x = 5,048,775,860.85
  5. Step 5: Solve for x
    x = 5,048,775,860.85/82,221.71
  6. Step 6: Final answer
    x = 61,404.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.